Skip to content

Excitation Voltage

The CoilExcitationVoltage excitation option applies a voltage across the coil. The voltage can be a constant value or a time-dependent function (for a time-transient simulation).

The current flowing through the coil is determined by the coil's resistance, the back electromotive force and the applied voltage according to Ohm's law:

\[ I = \frac{1}{R} \left( U - \mathcal{EMF} \right) \]

where \(I\) [A] is the current through the coil, \(U\) [V] is the applied voltage, \(R\) [\(\Omega\)] is the coil resistance, and \(\mathcal{EMF}\) [V] is the back electromotive force induced by the changing magnetic field.

The back EMF (electromotive force) induced in the coil is given by Faraday's law of induction:

\[ \mathcal{EMF} = -\frac{\mathrm{d} \Psi}{\mathrm{d}t} \]

where \(\Psi\) is the magnetic flux linkage through the coil, and \(t\) is time.

Example